Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives

被引：111
作者：
Kirane, M
Laskri, Y
Tatar, NE
机构：
[1] Univ Rochelle, Lab Math, F-17042 La Rochelle, France
[2] Univ Annaba, Dept Math, Fac Sci, Annaba 23000, Algeria
[3] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 312卷 / 02期
关键词：
fractional derivatives; Fujita's exponent; nonlinear evolution equations; nonlinear reaction-diffusion systems; porous media;
D O I：
10.1016/j.jmaa.2005.03.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with establishing necessary or sufficient conditions for the existence of solutions to evolution equations with fractional derivatives in space and time. The Fujita exponent is determined. Then, these results are extended to systems of reaction-diffusion equations. Our new results shed lights on important practical questions. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：488 / 501
页数：14
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